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Finding the Third Proportional to 61,051 and 126,779

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Solution

The third proportional to 61,051 and 126,779 is: 263,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,051 : 126,779 = 126,779 : x
  2. Step 2: Convert to fraction form
    61,051/126,779 = 126,779/x
  3. Step 3: Cross multiply
    61,051x = 126,779 × 126,779
  4. Step 4: Simplify right side
    61,051x = 16,072,914,841
  5. Step 5: Solve for x
    x = 16,072,914,841/61,051
  6. Step 6: Final answer
    x = 263,270.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.